The Guinness Book of Records recognizes Li Longlong of China as the person who has climbed the most consecutive stairs with his head. He's held the record since 2012, but extended it in 2015.
This video is of his latest attempt was on the set of CCTV Guinness World Records Special in 2015, where he achieved a new record by climbing 36 stairs.
Guinness posted an article about him this week, explaining the rules thus: "the participant must not pause for more than five seconds between steps, and that no part of the body other than the head may touch them."